Every solve-for-x problem on the Algebra 1 CBE comes down to the same five moves — distribute, combine, isolate, divide, check. Master the order and you'll handle one-step through both-sides equations on autopilot.

Inequalities solve like equations — except for one twist. Multiply or divide by a negative and the inequality sign flips. Master that single rule and you'll solve every CBE inequality on autopilot.

Slope is rate of change — and rate of change is the entire point of Algebra 1. Master the slope formula, the three line equations (slope-intercept, point-slope, standard), and when to use each.

A system of equations asks where two lines cross. Three ways to find that point — graphing, substitution, elimination — and how to recognize when there are zero, one, or infinite solutions.

A function is a rule that takes one input and gives one output. Master f(x) notation, domain/range, and the vertical line test — the foundation for every equation and graph in Algebra 1.

Multiply binomials with FOIL, then run the process backward to factor. Three patterns cover most CBE factoring questions: GCF, trinomial (x² + bx + c), and difference of squares.

The area of a rectangular yard is given by the polynomial 2x² + 7x + 3 square feet. Which pair of binomials could represent the length and width of the yard?

A rectangular vegetable garden has a length of (x + 7) feet and a width of (x + 3) feet. Which polynomial represents the area of the garden in square feet?

A projectile is launched and follows the path described by the quadratic function shown below. What does the maximum point of this parabola represent?